1628032 has 64 divisors (see below), whose sum is σ = 3916800. Its totient is φ = 658944.

The previous prime is 1627981. The next prime is 1628051. The reversal of 1628032 is 2308261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1627994 and 1628012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20569 + ... + 20647.

It is an arithmetic number, because the mean of its divisors is an integer number (61200).

2^1628032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958400).

1628032 is an abundant number, since it is smaller than the sum of its proper divisors (2288768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1628032 is an equidigital number, since it uses as much as digits as its factorization.

1628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1628032 is about 1275.9435724200. The cubic root of 1628032 is about 117.6398094357.

The spelling of 1628032 in words is "one million, six hundred twenty-eight thousand, thirty-two".